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144532212050007 = 3317400184299337
BaseRepresentation
bin100000110111001110000111…
…001010000110100001010111
3200221202010220100210122022000
4200313032013022012201113
5122421003432241100012
61231221103120210343
742305051644055025
oct4067160712064127
9627663810718260
10144532212050007
1142063848834241
12142633894699b3
1362854380ac302
142799579991715
1511a9934000ddc
hex837387286857

144532212050007 has 64 divisors (see below), whose sum is σ = 226825055049600. Its totient is φ = 90643746816000.

The previous prime is 144532212049999. The next prime is 144532212050029. The reversal of 144532212050007 is 700050212235441.

144532212050007 is a `hidden beast` number, since 1 + 4 + 4 + 5 + 3 + 22 + 120 + 500 + 0 + 7 = 666.

It is not a de Polignac number, because 144532212050007 - 23 = 144532212049999 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144532212050507) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15479508243 + ... + 15479517579.

It is an arithmetic number, because the mean of its divisors is an integer number (3544141485150).

Almost surely, 2144532212050007 is an apocalyptic number.

144532212050007 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

144532212050007 is a deficient number, since it is larger than the sum of its proper divisors (82292842999593).

144532212050007 is a wasteful number, since it uses less digits than its factorization.

144532212050007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21793 (or 21787 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

Adding to 144532212050007 its reverse (700050212235441), we get a palindrome (844582424285448).

The spelling of 144532212050007 in words is "one hundred forty-four trillion, five hundred thirty-two billion, two hundred twelve million, fifty thousand, seven".

Divisors: 1 3 9 17 27 51 153 459 4001 8429 9337 12003 25287 28011 36009 68017 75861 84033 108027 143293 158729 204051 227583 252099 429879 476187 612153 1289637 1428561 1836459 3868911 4285683 33724429 37357337 78701573 101173287 112072011 236104719 303519861 336216033 573315293 635074729 708314157 910559583 1008648099 1337926741 1719945879 1905224187 2124942471 4013780223 5159837637 5715672561 12041340669 15479512911 17147017683 36124022007 314884993573 944654980719 2833964942157 5353044890741 8501894826471 16059134672223 48177404016669 144532212050007